Tham khảo tài liệu 'gear geometry and applied theory episode 2 part 4', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Root s Blower 373 a 2r b Figure For derivation of relation between the design parameters. Figure Applied coordinate systems. 374 Cycloidal Gearing Table Properties of s2 Lobe number Convex Concave-Convex With singularities 2 0 - r a -r a - r 3 0 - r a -r a - r which yield Xf p sin ớ 0 a sinỘ yf p cos ớ Ộ a cos Ộ r sin ớ Ộ a sins 0. Equations of Dedendum Curve x2 of Rotor 2 Profile s2 is represented in S2 by the equations r2 M21Ĩ1 f 9 ệ 0 which yield X2 p sin ớ 2Ộ a sin 20 2r sinỘ y2 p cos ớ 2Ộ a cos20 2r cosỘ r sin ớ Ộ a sins 0. Depending on the ratio a r profile s2 may be represented by i a convex curve ii a concave-convex curve and iii a curve with singularities. The third case may be investigated by considering the conditions of nonundercutting of s2 by S1 see Section . The first and second cases may be investigated by considering the relations between the curvatures of conjugate shapes see Section . The results of the investigations are presented in Table . 14 Involute Helical Gears with Parallel Axes INTRODUCTION Cycloidal gears Chapter 13 and involute gears Chapters 10 11 14 15 and 16 have different areas of application. This chapter covers involute gears with parallel axes whose design is based on the assumption that the gear tooth surfaces are in instantaneous contact along a line line contact in the case of aligned gear drives. Although the influence of errors of alignment should be considered in the study of the real meshing see Chapters 15 16 and 17 in this chapter we consider a preliminary study limited to the theoretical study of meshing. This allows the reader to focus initially on the theoretical study of involute gears. However we have to emphasize that the modern design of helical gear drives is directed at observation of localized bearing contact obtained by tooth surfaces being in point contact instead of line contact simulation of .
